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Finding the Fourth Proportional to 716,412.48, 989,313.12 and 462,200.64

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Solution

The fourth proportional to 716,412.48, 989,313.12 and 462,200.64 is: 638,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,412.48 : 989,313.12 = 462,200.64 : x
  2. Step 2: Convert to fraction form
    716,412.48/989,313.12 = 462,200.64/x
  3. Step 3: Cross multiply
    716,412.48x = 989,313.12 × 462,200.64
  4. Step 4: Simplify right side
    716,412.48x = 457,261,157,224.40
  5. Step 5: Solve for x
    x = 457,261,157,224.40/716,412.48
  6. Step 6: Final answer
    x = 638,265.20

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Double scale
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1.5x scale

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.