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Finding the Fourth Proportional to 356,931.65, 534,345.55 and 312,644.90

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Solution

The fourth proportional to 356,931.65, 534,345.55 and 312,644.90 is: 468,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,931.65 : 534,345.55 = 312,644.90 : x
  2. Step 2: Convert to fraction form
    356,931.65/534,345.55 = 312,644.90/x
  3. Step 3: Cross multiply
    356,931.65x = 534,345.55 × 312,644.90
  4. Step 4: Simplify right side
    356,931.65x = 167,060,411,045.20
  5. Step 5: Solve for x
    x = 167,060,411,045.20/356,931.65
  6. Step 6: Final answer
    x = 468,045.94

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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.