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Finding the Fourth Proportional to 477,412, 716,146.80 and 144,990.88

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Solution

The fourth proportional to 477,412, 716,146.80 and 144,990.88 is: 217,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,412 : 716,146.80 = 144,990.88 : x
  2. Step 2: Convert to fraction form
    477,412/716,146.80 = 144,990.88/x
  3. Step 3: Cross multiply
    477,412x = 716,146.80 × 144,990.88
  4. Step 4: Simplify right side
    477,412x = 103,834,754,741.18
  5. Step 5: Solve for x
    x = 103,834,754,741.18/477,412
  6. Step 6: Final answer
    x = 217,495.07

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1.5x scale

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.