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Finding the Fourth Proportional to 556,501.13, 767,971.55 and 314,778.50

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Solution

The fourth proportional to 556,501.13, 767,971.55 and 314,778.50 is: 434,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,501.13 : 767,971.55 = 314,778.50 : x
  2. Step 2: Convert to fraction form
    556,501.13/767,971.55 = 314,778.50/x
  3. Step 3: Cross multiply
    556,501.13x = 767,971.55 × 314,778.50
  4. Step 4: Simplify right side
    556,501.13x = 241,740,929,498.76
  5. Step 5: Solve for x
    x = 241,740,929,498.76/556,501.13
  6. Step 6: Final answer
    x = 434,394.32

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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.