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Finding the Fourth Proportional to 385,534.80, 578,129.40 and 175,064.40

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Solution

The fourth proportional to 385,534.80, 578,129.40 and 175,064.40 is: 262,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,534.80 : 578,129.40 = 175,064.40 : x
  2. Step 2: Convert to fraction form
    385,534.80/578,129.40 = 175,064.40/x
  3. Step 3: Cross multiply
    385,534.80x = 578,129.40 × 175,064.40
  4. Step 4: Simplify right side
    385,534.80x = 101,209,876,533.36
  5. Step 5: Solve for x
    x = 101,209,876,533.36/385,534.80
  6. Step 6: Final answer
    x = 262,518.13

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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.