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Finding the Fourth Proportional to 513,967.59, 709,280.86 and 284,528.68

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Solution

The fourth proportional to 513,967.59, 709,280.86 and 284,528.68 is: 392,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,967.59 : 709,280.86 = 284,528.68 : x
  2. Step 2: Convert to fraction form
    513,967.59/709,280.86 = 284,528.68/x
  3. Step 3: Cross multiply
    513,967.59x = 709,280.86 × 284,528.68
  4. Step 4: Simplify right side
    513,967.59x = 201,810,746,845.07
  5. Step 5: Solve for x
    x = 201,810,746,845.07/513,967.59
  6. Step 6: Final answer
    x = 392,652.67

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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.