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Finding the Fourth Proportional to 556,502, 767,972.76 and 314,779.37

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Solution

The fourth proportional to 556,502, 767,972.76 and 314,779.37 is: 434,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,502 : 767,972.76 = 314,779.37 : x
  2. Step 2: Convert to fraction form
    556,502/767,972.76 = 314,779.37/x
  3. Step 3: Cross multiply
    556,502x = 767,972.76 × 314,779.37
  4. Step 4: Simplify right side
    556,502x = 241,741,981,569.96
  5. Step 5: Solve for x
    x = 241,741,981,569.96/556,502
  6. Step 6: Final answer
    x = 434,395.53

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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.