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Finding the Fourth Proportional to 521,133,643.80, 781,700,465.70 and 265,798,834.20

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Solution

The fourth proportional to 521,133,643.80, 781,700,465.70 and 265,798,834.20 is: 398,698,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,133,643.80 : 781,700,465.70 = 265,798,834.20 : x
  2. Step 2: Convert to fraction form
    521,133,643.80/781,700,465.70 = 265,798,834.20/x
  3. Step 3: Cross multiply
    521,133,643.80x = 781,700,465.70 × 265,798,834.20
  4. Step 4: Simplify right side
    521,133,643.80x = 207,775,072,476,657,088
  5. Step 5: Solve for x
    x = 207,775,072,476,657,088/521,133,643.80
  6. Step 6: Final answer
    x = 398,698,251.30

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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.