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Finding the Fourth Proportional to 661,289.40, 912,678.96 and 403,316

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Solution

The fourth proportional to 661,289.40, 912,678.96 and 403,316 is: 556,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,289.40 : 912,678.96 = 403,316 : x
  2. Step 2: Convert to fraction form
    661,289.40/912,678.96 = 403,316/x
  3. Step 3: Cross multiply
    661,289.40x = 912,678.96 × 403,316
  4. Step 4: Simplify right side
    661,289.40x = 368,098,027,431.36
  5. Step 5: Solve for x
    x = 368,098,027,431.36/661,289.40
  6. Step 6: Final answer
    x = 556,636.82

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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.