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Finding the Fourth Proportional to 411,563.93, 620,430.62 and 384,130.76

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Solution

The fourth proportional to 411,563.93, 620,430.62 and 384,130.76 is: 579,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,563.93 : 620,430.62 = 384,130.76 : x
  2. Step 2: Convert to fraction form
    411,563.93/620,430.62 = 384,130.76/x
  3. Step 3: Cross multiply
    411,563.93x = 620,430.62 × 384,130.76
  4. Step 4: Simplify right side
    411,563.93x = 238,326,480,565.06
  5. Step 5: Solve for x
    x = 238,326,480,565.06/411,563.93
  6. Step 6: Final answer
    x = 579,075.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.