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Finding the Fourth Proportional to 497,624.58, 686,661.71 and 282,704.45

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Solution

The fourth proportional to 497,624.58, 686,661.71 and 282,704.45 is: 390,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,624.58 : 686,661.71 = 282,704.45 : x
  2. Step 2: Convert to fraction form
    497,624.58/686,661.71 = 282,704.45/x
  3. Step 3: Cross multiply
    497,624.58x = 686,661.71 × 282,704.45
  4. Step 4: Simplify right side
    497,624.58x = 194,122,316,214.78
  5. Step 5: Solve for x
    x = 194,122,316,214.78/497,624.58
  6. Step 6: Final answer
    x = 390,097.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.