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Finding the Fourth Proportional to 417,918, 626,875.64 and 151,678.16

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Solution

The fourth proportional to 417,918, 626,875.64 and 151,678.16 is: 227,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,918 : 626,875.64 = 151,678.16 : x
  2. Step 2: Convert to fraction form
    417,918/626,875.64 = 151,678.16/x
  3. Step 3: Cross multiply
    417,918x = 626,875.64 × 151,678.16
  4. Step 4: Simplify right side
    417,918x = 95,083,343,624.02
  5. Step 5: Solve for x
    x = 95,083,343,624.02/417,918
  6. Step 6: Final answer
    x = 227,516.75

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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.