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Finding the Fourth Proportional to 556,827, 768,421.80 and 302,178.24

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Solution

The fourth proportional to 556,827, 768,421.80 and 302,178.24 is: 417,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,827 : 768,421.80 = 302,178.24 : x
  2. Step 2: Convert to fraction form
    556,827/768,421.80 = 302,178.24/x
  3. Step 3: Cross multiply
    556,827x = 768,421.80 × 302,178.24
  4. Step 4: Simplify right side
    556,827x = 232,200,347,101.63
  5. Step 5: Solve for x
    x = 232,200,347,101.63/556,827
  6. Step 6: Final answer
    x = 417,006.26

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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.