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Finding the Fourth Proportional to 570,768.84, 787,666.20 and 316,125

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Solution

The fourth proportional to 570,768.84, 787,666.20 and 316,125 is: 436,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,768.84 : 787,666.20 = 316,125 : x
  2. Step 2: Convert to fraction form
    570,768.84/787,666.20 = 316,125/x
  3. Step 3: Cross multiply
    570,768.84x = 787,666.20 × 316,125
  4. Step 4: Simplify right side
    570,768.84x = 249,000,977,475
  5. Step 5: Solve for x
    x = 249,000,977,475/570,768.84
  6. Step 6: Final answer
    x = 436,255.38

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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.