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Finding the Fourth Proportional to 507,349.17, 761,023.25 and 207,830.31

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Solution

The fourth proportional to 507,349.17, 761,023.25 and 207,830.31 is: 311,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,349.17 : 761,023.25 = 207,830.31 : x
  2. Step 2: Convert to fraction form
    507,349.17/761,023.25 = 207,830.31/x
  3. Step 3: Cross multiply
    507,349.17x = 761,023.25 × 207,830.31
  4. Step 4: Simplify right side
    507,349.17x = 158,163,696,925.56
  5. Step 5: Solve for x
    x = 158,163,696,925.56/507,349.17
  6. Step 6: Final answer
    x = 311,745.26

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Similar ratio
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1.5x scale

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.