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Finding the Fourth Proportional to 458,276.40, 686,032.20 and 402,980.40

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Solution

The fourth proportional to 458,276.40, 686,032.20 and 402,980.40 is: 603,255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,276.40 : 686,032.20 = 402,980.40 : x
  2. Step 2: Convert to fraction form
    458,276.40/686,032.20 = 402,980.40/x
  3. Step 3: Cross multiply
    458,276.40x = 686,032.20 × 402,980.40
  4. Step 4: Simplify right side
    458,276.40x = 276,457,530,368.88
  5. Step 5: Solve for x
    x = 276,457,530,368.88/458,276.40
  6. Step 6: Final answer
    x = 603,255.00

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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.