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Finding the Fourth Proportional to 768,345.71, 1,152,574.28 and 295,031.08

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Solution

The fourth proportional to 768,345.71, 1,152,574.28 and 295,031.08 is: 442,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,345.71 : 1,152,574.28 = 295,031.08 : x
  2. Step 2: Convert to fraction form
    768,345.71/1,152,574.28 = 295,031.08/x
  3. Step 3: Cross multiply
    768,345.71x = 1,152,574.28 × 295,031.08
  4. Step 4: Simplify right side
    768,345.71x = 340,045,227,370.60
  5. Step 5: Solve for x
    x = 340,045,227,370.60/768,345.71
  6. Step 6: Final answer
    x = 442,568.00

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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.