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Finding the Fourth Proportional to 556,798.21, 768,381.52 and 302,149.40

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Solution

The fourth proportional to 556,798.21, 768,381.52 and 302,149.40 is: 416,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,798.21 : 768,381.52 = 302,149.40 : x
  2. Step 2: Convert to fraction form
    556,798.21/768,381.52 = 302,149.40/x
  3. Step 3: Cross multiply
    556,798.21x = 768,381.52 × 302,149.40
  4. Step 4: Simplify right side
    556,798.21x = 232,166,011,774.87
  5. Step 5: Solve for x
    x = 232,166,011,774.87/556,798.21
  6. Step 6: Final answer
    x = 416,966.16

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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.