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Finding the Fourth Proportional to 472,851.40, 709,277.10 and 459,729.40

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Solution

The fourth proportional to 472,851.40, 709,277.10 and 459,729.40 is: 689,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,851.40 : 709,277.10 = 459,729.40 : x
  2. Step 2: Convert to fraction form
    472,851.40/709,277.10 = 459,729.40/x
  3. Step 3: Cross multiply
    472,851.40x = 709,277.10 × 459,729.40
  4. Step 4: Simplify right side
    472,851.40x = 326,075,535,616.74
  5. Step 5: Solve for x
    x = 326,075,535,616.74/472,851.40
  6. Step 6: Final answer
    x = 689,594.10

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Similar ratio
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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.