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Finding the Fourth Proportional to 350,978.40, 524,931.60 and 313,807.20

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Solution

The fourth proportional to 350,978.40, 524,931.60 and 313,807.20 is: 469,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,978.40 : 524,931.60 = 313,807.20 : x
  2. Step 2: Convert to fraction form
    350,978.40/524,931.60 = 313,807.20/x
  3. Step 3: Cross multiply
    350,978.40x = 524,931.60 × 313,807.20
  4. Step 4: Simplify right side
    350,978.40x = 164,727,315,587.52
  5. Step 5: Solve for x
    x = 164,727,315,587.52/350,978.40
  6. Step 6: Final answer
    x = 469,337.47

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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.