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Finding the Fourth Proportional to 616,970.40, 851,413.08 and 345,035.16

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Solution

The fourth proportional to 616,970.40, 851,413.08 and 345,035.16 is: 476,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,970.40 : 851,413.08 = 345,035.16 : x
  2. Step 2: Convert to fraction form
    616,970.40/851,413.08 = 345,035.16/x
  3. Step 3: Cross multiply
    616,970.40x = 851,413.08 × 345,035.16
  4. Step 4: Simplify right side
    616,970.40x = 293,767,448,283.89
  5. Step 5: Solve for x
    x = 293,767,448,283.89/616,970.40
  6. Step 6: Final answer
    x = 476,145.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.