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Finding the Fourth Proportional to 459,458.34, 688,737.56 and 257,153.22

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Solution

The fourth proportional to 459,458.34, 688,737.56 and 257,153.22 is: 385,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,458.34 : 688,737.56 = 257,153.22 : x
  2. Step 2: Convert to fraction form
    459,458.34/688,737.56 = 257,153.22/x
  3. Step 3: Cross multiply
    459,458.34x = 688,737.56 × 257,153.22
  4. Step 4: Simplify right side
    459,458.34x = 177,111,081,288.94
  5. Step 5: Solve for x
    x = 177,111,081,288.94/459,458.34
  6. Step 6: Final answer
    x = 385,478.00

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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.