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Finding the Fourth Proportional to 459,437, 689,155.52 and 143,918.52

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Solution

The fourth proportional to 459,437, 689,155.52 and 143,918.52 is: 215,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,437 : 689,155.52 = 143,918.52 : x
  2. Step 2: Convert to fraction form
    459,437/689,155.52 = 143,918.52/x
  3. Step 3: Cross multiply
    459,437x = 689,155.52 × 143,918.52
  4. Step 4: Simplify right side
    459,437x = 99,182,242,488.23
  5. Step 5: Solve for x
    x = 99,182,242,488.23/459,437
  6. Step 6: Final answer
    x = 215,877.79

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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.