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Finding the Fourth Proportional to 556,090.12, 767,368.13 and 311,032.41

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Solution

The fourth proportional to 556,090.12, 767,368.13 and 311,032.41 is: 429,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,090.12 : 767,368.13 = 311,032.41 : x
  2. Step 2: Convert to fraction form
    556,090.12/767,368.13 = 311,032.41/x
  3. Step 3: Cross multiply
    556,090.12x = 767,368.13 × 311,032.41
  4. Step 4: Simplify right side
    556,090.12x = 238,676,359,401.51
  5. Step 5: Solve for x
    x = 238,676,359,401.51/556,090.12
  6. Step 6: Final answer
    x = 429,204.46

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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.