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Finding the Fourth Proportional to 473,146.40, 709,719.60 and 286,522.40

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Solution

The fourth proportional to 473,146.40, 709,719.60 and 286,522.40 is: 429,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,146.40 : 709,719.60 = 286,522.40 : x
  2. Step 2: Convert to fraction form
    473,146.40/709,719.60 = 286,522.40/x
  3. Step 3: Cross multiply
    473,146.40x = 709,719.60 × 286,522.40
  4. Step 4: Simplify right side
    473,146.40x = 203,350,563,119.04
  5. Step 5: Solve for x
    x = 203,350,563,119.04/473,146.40
  6. Step 6: Final answer
    x = 429,783.60

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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.