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Finding the Fourth Proportional to 280,762.29, 387,478.67 and 153,457.02

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Solution

The fourth proportional to 280,762.29, 387,478.67 and 153,457.02 is: 211,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,762.29 : 387,478.67 = 153,457.02 : x
  2. Step 2: Convert to fraction form
    280,762.29/387,478.67 = 153,457.02/x
  3. Step 3: Cross multiply
    280,762.29x = 387,478.67 × 153,457.02
  4. Step 4: Simplify right side
    280,762.29x = 59,461,321,244.48
  5. Step 5: Solve for x
    x = 59,461,321,244.48/280,762.29
  6. Step 6: Final answer
    x = 211,785.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.