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Finding the Fourth Proportional to 556,518.32, 767,995.40 and 314,795.76

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Solution

The fourth proportional to 556,518.32, 767,995.40 and 314,795.76 is: 434,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,518.32 : 767,995.40 = 314,795.76 : x
  2. Step 2: Convert to fraction form
    556,518.32/767,995.40 = 314,795.76/x
  3. Step 3: Cross multiply
    556,518.32x = 767,995.40 × 314,795.76
  4. Step 4: Simplify right side
    556,518.32x = 241,761,695,619.50
  5. Step 5: Solve for x
    x = 241,761,695,619.50/556,518.32
  6. Step 6: Final answer
    x = 434,418.22

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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.