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Finding the Fourth Proportional to 489,390,411.80, 734,085,617.70 and 470,578,712.60

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Solution

The fourth proportional to 489,390,411.80, 734,085,617.70 and 470,578,712.60 is: 705,868,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,390,411.80 : 734,085,617.70 = 470,578,712.60 : x
  2. Step 2: Convert to fraction form
    489,390,411.80/734,085,617.70 = 470,578,712.60/x
  3. Step 3: Cross multiply
    489,390,411.80x = 734,085,617.70 × 470,578,712.60
  4. Step 4: Simplify right side
    489,390,411.80x = 345,445,064,915,441,792
  5. Step 5: Solve for x
    x = 345,445,064,915,441,792/489,390,411.80
  6. Step 6: Final answer
    x = 705,868,068.90

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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.