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Finding the Fourth Proportional to 459,434.34, 688,681.29 and 447,908.85

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Solution

The fourth proportional to 459,434.34, 688,681.29 and 447,908.85 is: 671,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,434.34 : 688,681.29 = 447,908.85 : x
  2. Step 2: Convert to fraction form
    459,434.34/688,681.29 = 447,908.85/x
  3. Step 3: Cross multiply
    459,434.34x = 688,681.29 × 447,908.85
  4. Step 4: Simplify right side
    459,434.34x = 308,466,444,620.42
  5. Step 5: Solve for x
    x = 308,466,444,620.42/459,434.34
  6. Step 6: Final answer
    x = 671,404.85

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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.