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Finding the Fourth Proportional to 584,688.40, 806,870 and 316,416.40

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Solution

The fourth proportional to 584,688.40, 806,870 and 316,416.40 is: 436,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,688.40 : 806,870 = 316,416.40 : x
  2. Step 2: Convert to fraction form
    584,688.40/806,870 = 316,416.40/x
  3. Step 3: Cross multiply
    584,688.40x = 806,870 × 316,416.40
  4. Step 4: Simplify right side
    584,688.40x = 255,306,900,668.00
  5. Step 5: Solve for x
    x = 255,306,900,668.00/584,688.40
  6. Step 6: Final answer
    x = 436,654.64

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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.