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Finding the Fourth Proportional to 521,018.08, 781,417.76 and 146,953.60

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Solution

The fourth proportional to 521,018.08, 781,417.76 and 146,953.60 is: 220,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,018.08 : 781,417.76 = 146,953.60 : x
  2. Step 2: Convert to fraction form
    521,018.08/781,417.76 = 146,953.60/x
  3. Step 3: Cross multiply
    521,018.08x = 781,417.76 × 146,953.60
  4. Step 4: Simplify right side
    521,018.08x = 114,832,152,935.94
  5. Step 5: Solve for x
    x = 114,832,152,935.94/521,018.08
  6. Step 6: Final answer
    x = 220,399.55

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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.