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Finding the Fourth Proportional to 508,957.83, 763,611.30 and 319,189.01

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Solution

The fourth proportional to 508,957.83, 763,611.30 and 319,189.01 is: 478,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,957.83 : 763,611.30 = 319,189.01 : x
  2. Step 2: Convert to fraction form
    508,957.83/763,611.30 = 319,189.01/x
  3. Step 3: Cross multiply
    508,957.83x = 763,611.30 × 319,189.01
  4. Step 4: Simplify right side
    508,957.83x = 243,736,331,053.76
  5. Step 5: Solve for x
    x = 243,736,331,053.76/508,957.83
  6. Step 6: Final answer
    x = 478,892.98

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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.