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Finding the Fourth Proportional to 478,657.42, 718,071.51 and 158,828.50

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Solution

The fourth proportional to 478,657.42, 718,071.51 and 158,828.50 is: 238,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,657.42 : 718,071.51 = 158,828.50 : x
  2. Step 2: Convert to fraction form
    478,657.42/718,071.51 = 158,828.50/x
  3. Step 3: Cross multiply
    478,657.42x = 718,071.51 × 158,828.50
  4. Step 4: Simplify right side
    478,657.42x = 114,050,220,826.04
  5. Step 5: Solve for x
    x = 114,050,220,826.04/478,657.42
  6. Step 6: Final answer
    x = 238,271.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.