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Finding the Fourth Proportional to 459,322.40, 689,123.65 and 234,840.47

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Solution

The fourth proportional to 459,322.40, 689,123.65 and 234,840.47 is: 352,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,322.40 : 689,123.65 = 234,840.47 : x
  2. Step 2: Convert to fraction form
    459,322.40/689,123.65 = 234,840.47/x
  3. Step 3: Cross multiply
    459,322.40x = 689,123.65 × 234,840.47
  4. Step 4: Simplify right side
    459,322.40x = 161,834,118,261.72
  5. Step 5: Solve for x
    x = 161,834,118,261.72/459,322.40
  6. Step 6: Final answer
    x = 352,332.30

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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.