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Finding the Fourth Proportional to 470,130, 648,779.40 and 268,926

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Solution

The fourth proportional to 470,130, 648,779.40 and 268,926 is: 371,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,130 : 648,779.40 = 268,926 : x
  2. Step 2: Convert to fraction form
    470,130/648,779.40 = 268,926/x
  3. Step 3: Cross multiply
    470,130x = 648,779.40 × 268,926
  4. Step 4: Simplify right side
    470,130x = 174,473,648,924.40
  5. Step 5: Solve for x
    x = 174,473,648,924.40/470,130
  6. Step 6: Final answer
    x = 371,117.88

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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.