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Finding the Fourth Proportional to 565,670.84, 780,628.65 and 311,038.40

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Solution

The fourth proportional to 565,670.84, 780,628.65 and 311,038.40 is: 429,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,670.84 : 780,628.65 = 311,038.40 : x
  2. Step 2: Convert to fraction form
    565,670.84/780,628.65 = 311,038.40/x
  3. Step 3: Cross multiply
    565,670.84x = 780,628.65 × 311,038.40
  4. Step 4: Simplify right side
    565,670.84x = 242,805,486,290.16
  5. Step 5: Solve for x
    x = 242,805,486,290.16/565,670.84
  6. Step 6: Final answer
    x = 429,234.58

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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.