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Finding the Fourth Proportional to 409,699.40, 614,549.10 and 339,715.40

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Solution

The fourth proportional to 409,699.40, 614,549.10 and 339,715.40 is: 509,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,699.40 : 614,549.10 = 339,715.40 : x
  2. Step 2: Convert to fraction form
    409,699.40/614,549.10 = 339,715.40/x
  3. Step 3: Cross multiply
    409,699.40x = 614,549.10 × 339,715.40
  4. Step 4: Simplify right side
    409,699.40x = 208,771,793,326.14
  5. Step 5: Solve for x
    x = 208,771,793,326.14/409,699.40
  6. Step 6: Final answer
    x = 509,573.10

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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.