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Finding the Fourth Proportional to 491,106.40, 736,659.60 and 470,111.20

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Solution

The fourth proportional to 491,106.40, 736,659.60 and 470,111.20 is: 705,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,106.40 : 736,659.60 = 470,111.20 : x
  2. Step 2: Convert to fraction form
    491,106.40/736,659.60 = 470,111.20/x
  3. Step 3: Cross multiply
    491,106.40x = 736,659.60 × 470,111.20
  4. Step 4: Simplify right side
    491,106.40x = 346,311,928,547.52
  5. Step 5: Solve for x
    x = 346,311,928,547.52/491,106.40
  6. Step 6: Final answer
    x = 705,166.80

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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.