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Finding the Fourth Proportional to 472,647.20, 709,316.40 and 314,823.20

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Solution

The fourth proportional to 472,647.20, 709,316.40 and 314,823.20 is: 472,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,647.20 : 709,316.40 = 314,823.20 : x
  2. Step 2: Convert to fraction form
    472,647.20/709,316.40 = 314,823.20/x
  3. Step 3: Cross multiply
    472,647.20x = 709,316.40 × 314,823.20
  4. Step 4: Simplify right side
    472,647.20x = 223,309,258,860.48
  5. Step 5: Solve for x
    x = 223,309,258,860.48/472,647.20
  6. Step 6: Final answer
    x = 472,465.00

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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.