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Finding the Fourth Proportional to 506,512.64, 699,125.64 and 315,413.12

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Solution

The fourth proportional to 506,512.64, 699,125.64 and 315,413.12 is: 435,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,512.64 : 699,125.64 = 315,413.12 : x
  2. Step 2: Convert to fraction form
    506,512.64/699,125.64 = 315,413.12/x
  3. Step 3: Cross multiply
    506,512.64x = 699,125.64 × 315,413.12
  4. Step 4: Simplify right side
    506,512.64x = 220,513,399,384.40
  5. Step 5: Solve for x
    x = 220,513,399,384.40/506,512.64
  6. Step 6: Final answer
    x = 435,356.16

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1.5x scale

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.