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Finding the Fourth Proportional to 507,535.64, 761,228.28 and 307,802.40

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Solution

The fourth proportional to 507,535.64, 761,228.28 and 307,802.40 is: 461,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,535.64 : 761,228.28 = 307,802.40 : x
  2. Step 2: Convert to fraction form
    507,535.64/761,228.28 = 307,802.40/x
  3. Step 3: Cross multiply
    507,535.64x = 761,228.28 × 307,802.40
  4. Step 4: Simplify right side
    507,535.64x = 234,307,888,677.27
  5. Step 5: Solve for x
    x = 234,307,888,677.27/507,535.64
  6. Step 6: Final answer
    x = 461,658.00

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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.