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Finding the Fourth Proportional to 385,386.40, 577,690.80 and 175,175.20

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Solution

The fourth proportional to 385,386.40, 577,690.80 and 175,175.20 is: 262,586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,386.40 : 577,690.80 = 175,175.20 : x
  2. Step 2: Convert to fraction form
    385,386.40/577,690.80 = 175,175.20/x
  3. Step 3: Cross multiply
    385,386.40x = 577,690.80 × 175,175.20
  4. Step 4: Simplify right side
    385,386.40x = 101,197,101,428.16
  5. Step 5: Solve for x
    x = 101,197,101,428.16/385,386.40
  6. Step 6: Final answer
    x = 262,586.07

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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.