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Finding the Fourth Proportional to 569,756.76, 786,232.36 and 311,582.40

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Solution

The fourth proportional to 569,756.76, 786,232.36 and 311,582.40 is: 429,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,756.76 : 786,232.36 = 311,582.40 : x
  2. Step 2: Convert to fraction form
    569,756.76/786,232.36 = 311,582.40/x
  3. Step 3: Cross multiply
    569,756.76x = 786,232.36 × 311,582.40
  4. Step 4: Simplify right side
    569,756.76x = 244,976,165,686.46
  5. Step 5: Solve for x
    x = 244,976,165,686.46/569,756.76
  6. Step 6: Final answer
    x = 429,966.23

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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.