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Finding the Fourth Proportional to 565,628.44, 780,547.30 and 310,977.68

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Solution

The fourth proportional to 565,628.44, 780,547.30 and 310,977.68 is: 429,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,628.44 : 780,547.30 = 310,977.68 : x
  2. Step 2: Convert to fraction form
    565,628.44/780,547.30 = 310,977.68/x
  3. Step 3: Cross multiply
    565,628.44x = 780,547.30 × 310,977.68
  4. Step 4: Simplify right side
    565,628.44x = 242,732,788,484.26
  5. Step 5: Solve for x
    x = 242,732,788,484.26/565,628.44
  6. Step 6: Final answer
    x = 429,138.23

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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.