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Finding the Fourth Proportional to 708,278, 977,423.66 and 390,326

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Solution

The fourth proportional to 708,278, 977,423.66 and 390,326 is: 538,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,278 : 977,423.66 = 390,326 : x
  2. Step 2: Convert to fraction form
    708,278/977,423.66 = 390,326/x
  3. Step 3: Cross multiply
    708,278x = 977,423.66 × 390,326
  4. Step 4: Simplify right side
    708,278x = 381,513,867,513.16
  5. Step 5: Solve for x
    x = 381,513,867,513.16/708,278
  6. Step 6: Final answer
    x = 538,649.89

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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.