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Finding the Fourth Proportional to 540,507, 745,922.70 and 302,043

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Solution

The fourth proportional to 540,507, 745,922.70 and 302,043 is: 416,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,507 : 745,922.70 = 302,043 : x
  2. Step 2: Convert to fraction form
    540,507/745,922.70 = 302,043/x
  3. Step 3: Cross multiply
    540,507x = 745,922.70 × 302,043
  4. Step 4: Simplify right side
    540,507x = 225,300,730,076.10
  5. Step 5: Solve for x
    x = 225,300,730,076.10/540,507
  6. Step 6: Final answer
    x = 416,832.22

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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.