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Finding the Fourth Proportional to 565,291.68, 780,405.84 and 435,947.28

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Solution

The fourth proportional to 565,291.68, 780,405.84 and 435,947.28 is: 601,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,291.68 : 780,405.84 = 435,947.28 : x
  2. Step 2: Convert to fraction form
    565,291.68/780,405.84 = 435,947.28/x
  3. Step 3: Cross multiply
    565,291.68x = 780,405.84 × 435,947.28
  4. Step 4: Simplify right side
    565,291.68x = 340,215,803,244.12
  5. Step 5: Solve for x
    x = 340,215,803,244.12/565,291.68
  6. Step 6: Final answer
    x = 601,841.16

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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.