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Finding the Fourth Proportional to 551,681.90, 761,319.87 and 309,970.70

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Solution

The fourth proportional to 551,681.90, 761,319.87 and 309,970.70 is: 427,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,681.90 : 761,319.87 = 309,970.70 : x
  2. Step 2: Convert to fraction form
    551,681.90/761,319.87 = 309,970.70/x
  3. Step 3: Cross multiply
    551,681.90x = 761,319.87 × 309,970.70
  4. Step 4: Simplify right side
    551,681.90x = 235,986,853,027.81
  5. Step 5: Solve for x
    x = 235,986,853,027.81/551,681.90
  6. Step 6: Final answer
    x = 427,758.92

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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.