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Finding the Fourth Proportional to 708,590,942.40, 1,062,886,413.60 and 652,470,772.80

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Solution

The fourth proportional to 708,590,942.40, 1,062,886,413.60 and 652,470,772.80 is: 978,706,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,590,942.40 : 1,062,886,413.60 = 652,470,772.80 : x
  2. Step 2: Convert to fraction form
    708,590,942.40/1,062,886,413.60 = 652,470,772.80/x
  3. Step 3: Cross multiply
    708,590,942.40x = 1,062,886,413.60 × 652,470,772.80
  4. Step 4: Simplify right side
    708,590,942.40x = 693,502,319,680,212,352
  5. Step 5: Solve for x
    x = 693,502,319,680,212,352/708,590,942.40
  6. Step 6: Final answer
    x = 978,706,159.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.