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Finding the Fourth Proportional to 409,643.60, 614,465.40 and 352,562.90

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Solution

The fourth proportional to 409,643.60, 614,465.40 and 352,562.90 is: 528,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,643.60 : 614,465.40 = 352,562.90 : x
  2. Step 2: Convert to fraction form
    409,643.60/614,465.40 = 352,562.90/x
  3. Step 3: Cross multiply
    409,643.60x = 614,465.40 × 352,562.90
  4. Step 4: Simplify right side
    409,643.60x = 216,637,703,373.66
  5. Step 5: Solve for x
    x = 216,637,703,373.66/409,643.60
  6. Step 6: Final answer
    x = 528,844.35

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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.