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Finding the Fourth Proportional to 586,189.48, 879,282.86 and 385,055.20

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Solution

The fourth proportional to 586,189.48, 879,282.86 and 385,055.20 is: 577,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,189.48 : 879,282.86 = 385,055.20 : x
  2. Step 2: Convert to fraction form
    586,189.48/879,282.86 = 385,055.20/x
  3. Step 3: Cross multiply
    586,189.48x = 879,282.86 × 385,055.20
  4. Step 4: Simplify right side
    586,189.48x = 338,572,437,513.87
  5. Step 5: Solve for x
    x = 338,572,437,513.87/586,189.48
  6. Step 6: Final answer
    x = 577,581.91

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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.