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Finding the Fourth Proportional to 564,330.61, 778,798.70 and 309,690.91

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Solution

The fourth proportional to 564,330.61, 778,798.70 and 309,690.91 is: 427,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,330.61 : 778,798.70 = 309,690.91 : x
  2. Step 2: Convert to fraction form
    564,330.61/778,798.70 = 309,690.91/x
  3. Step 3: Cross multiply
    564,330.61x = 778,798.70 × 309,690.91
  4. Step 4: Simplify right side
    564,330.61x = 241,186,876,561.36
  5. Step 5: Solve for x
    x = 241,186,876,561.36/564,330.61
  6. Step 6: Final answer
    x = 427,385.78

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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.