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Finding the Fourth Proportional to 513,934.32, 709,225.07 and 284,492.05

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Solution

The fourth proportional to 513,934.32, 709,225.07 and 284,492.05 is: 392,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,934.32 : 709,225.07 = 284,492.05 : x
  2. Step 2: Convert to fraction form
    513,934.32/709,225.07 = 284,492.05/x
  3. Step 3: Cross multiply
    513,934.32x = 709,225.07 × 284,492.05
  4. Step 4: Simplify right side
    513,934.32x = 201,768,894,075.69
  5. Step 5: Solve for x
    x = 201,768,894,075.69/513,934.32
  6. Step 6: Final answer
    x = 392,596.65

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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.